### Definition of Scalar product

1. Noun. A real number (a scalar) that is the product of two vectors.

Exact synonyms: Dot Product, Inner Product
Generic synonyms: Real, Real Number

### Definition of Scalar product

1. Noun. (vector) The product of two vectors computed as the sum of the corresponding elements of the vectors, or, equivalently, as the product of the magnitudes of the vectors and the cosine of the angle between their directions. ¹

¹ Source: wiktionary.com

### Scalar Product Pictures

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### Literary usage of Scalar product

Below you will find example usage of this term as found in modern and/or classical literature:

1. Vector Analysis: An Introduction to Vector-methods and Their Various by Joseph George Coffin (1911)
"The scalar product of two vectors a and b, denoted by ab, <Sab, ... (26) This equation shows that the scalar product may be looked upon as the product of ..."

2. Vector Analysis: An Introduction to Vector-methods and Their Various by Joseph George Coffin (1911)
"The scalar product of two vectors a and b, denoted by ab, Sab, ... (26) This equation shows that the scalar product may be looked upon as the product of the ..."

3. The Encyclopedia Americana: A Library of Universal Knowledge (1920)
"Symbolic scalar product VB— The vector -operator V = ' TL + J -x + fc •— is ... The symbolic scalar product V .a = dot " dy dz' (12), where the symbolic ..."

4. Electrical Papers by Oliver Heaviside (1892)
"(2) and call it the scalar product of the vectors A and B. Its magnitude is that of A x that of B x the cosine of the angle between them. ..."

5. Electrical Papers by Oliver Heaviside (1894)
"(2) ami call it the scalar product of the vectors A and B. Its magnitude is that of Ax that of Bx the cosine of the angle between them. ..."

6. Mechanics: A Textbook for Engineers by James Ellsworth Boyd (1921)
"If the length of vector a is a units and the length of vector b is 6 units, and if the angle between the two vectors is 6, scalar product a. b = ab cos 6. ..."

7. Proceedings (1905)
"With respect to the scalar product ««ft and the interior product [a ft], much the same line of argument may be applied. So different are they in point of ..."